Compact almost automorphic solutions for some nonlinear integral equations with time-dependent and state-dependent delay

Abstract We study the existence of compact almost automorphic solutions for a class of integral equations with time-dependent and state-dependent delay. An application to a blowflies model and a transmission lines model is carried out to support the theoretical finding.

Bibliographic Details
Main Authors:	El Hadi Ait Dads, Fatima Boudchich, Brahim Es-sebbar
Format:	Article
Language:	English
Published:	SpringerOpen 2017-10-01
Series:	Advances in Difference Equations
Subjects:	almost periodic and almost automorphic solutions integral equations; neutral equation state-dependent delay Nicholson’s model lossless transmission lines
Online Access:	http://link.springer.com/article/10.1186/s13662-017-1364-2

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spelling	doaj-66dba54d010449158a5ce5e9768f6dbd2020-11-24T20:56:59ZengSpringerOpenAdvances in Difference Equations1687-18472017-10-012017112110.1186/s13662-017-1364-2Compact almost automorphic solutions for some nonlinear integral equations with time-dependent and state-dependent delayEl Hadi Ait Dads0Fatima Boudchich1Brahim Es-sebbar2Département de Mathématiques, Faculté des Sciences Semlalia, Université Cadi-AyyadDépartement de Mathématiques, Faculté des Sciences Semlalia, Université Cadi-AyyadDépartement de Mathématiques, Faculté des Sciences Semlalia, Université Cadi-AyyadAbstract We study the existence of compact almost automorphic solutions for a class of integral equations with time-dependent and state-dependent delay. An application to a blowflies model and a transmission lines model is carried out to support the theoretical finding.http://link.springer.com/article/10.1186/s13662-017-1364-2almost periodic and almost automorphic solutionsintegral equations; neutral equationstate-dependent delayNicholson’s modellossless transmission lines
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	El Hadi Ait Dads Fatima Boudchich Brahim Es-sebbar
spellingShingle	El Hadi Ait Dads Fatima Boudchich Brahim Es-sebbar Compact almost automorphic solutions for some nonlinear integral equations with time-dependent and state-dependent delay Advances in Difference Equations almost periodic and almost automorphic solutions integral equations; neutral equation state-dependent delay Nicholson’s model lossless transmission lines
author_facet	El Hadi Ait Dads Fatima Boudchich Brahim Es-sebbar
author_sort	El Hadi Ait Dads
title	Compact almost automorphic solutions for some nonlinear integral equations with time-dependent and state-dependent delay
title_short	Compact almost automorphic solutions for some nonlinear integral equations with time-dependent and state-dependent delay
title_full	Compact almost automorphic solutions for some nonlinear integral equations with time-dependent and state-dependent delay
title_fullStr	Compact almost automorphic solutions for some nonlinear integral equations with time-dependent and state-dependent delay
title_full_unstemmed	Compact almost automorphic solutions for some nonlinear integral equations with time-dependent and state-dependent delay
title_sort	compact almost automorphic solutions for some nonlinear integral equations with time-dependent and state-dependent delay
publisher	SpringerOpen
series	Advances in Difference Equations
issn	1687-1847
publishDate	2017-10-01
description	Abstract We study the existence of compact almost automorphic solutions for a class of integral equations with time-dependent and state-dependent delay. An application to a blowflies model and a transmission lines model is carried out to support the theoretical finding.
topic	almost periodic and almost automorphic solutions integral equations; neutral equation state-dependent delay Nicholson’s model lossless transmission lines
url	http://link.springer.com/article/10.1186/s13662-017-1364-2
work_keys_str_mv	AT elhadiaitdads compactalmostautomorphicsolutionsforsomenonlinearintegralequationswithtimedependentandstatedependentdelay AT fatimaboudchich compactalmostautomorphicsolutionsforsomenonlinearintegralequationswithtimedependentandstatedependentdelay AT brahimessebbar compactalmostautomorphicsolutionsforsomenonlinearintegralequationswithtimedependentandstatedependentdelay
_version_	1716789185193443328

Compact almost automorphic solutions for some nonlinear integral equations with time-dependent and state-dependent delay

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